Calculus One by Roman Holowinsky, Johann Thiel, David Lindberg
Calculus One - Table of Contents
- 0. Functions
- 1. Limits and limit evaluation methods
- 2. Infinity and Continuity
- 3. Basics of Derivatives
- 4. Curve Sketching and curve sketching calculus techniques
- 5. The Product Rule and the Quotient Rule
- 6. The Chain Rule and chain rule composite functions
- 7. Derivatives of Trigonometric Functions and Their Inverses
- 8. Applications of Differentiation
- 9. Optimization and calculus optimization word problems
- 10. Linear Approximation
- 11. Antiderivatives
- 12. Integrals and definite integral evaluation methods
- 13. The Fundamental Theorem of Calculus
- 14. Techniques of Integration and integration by substitution rules
- 15. Applications of Integration
What You Will Learn in Calculus One
Calculus One by Roman Holowinsky, Johann Thiel, and David Lindberg is an engaging, open-access introductory textbook designed to provide a comprehensive foundation in single-variable differential and integral calculus. Structured sequentially across 16 core chapters, this volume covers functions, limit definitions, continuity, derivative rules, optimization mechanics, linear approximation, antiderivatives, and integration techniques.
Tailored for undergraduate STEM majors, computer science students, and secondary AP Calculus educators, the author team balances visual intuition with mathematical exactness. Readers are guided step-by-step through product and quotient rules, chain rule differentiation, trigonometric inverses, curve sketching, and definite integrals.
Prized for its student-friendly pedagogy, complete chapter breakdown, and clear worked examples, it stands as one of the best introductory calculus textbooks pdf available for study. It systematically equips learners with foundational analytical tools for mastering Calculus I with confidence.
Book Details & Specifications
Title:
Calculus One by Roman Holowinsky, Johann Thiel, David Lindberg
Publisher:
Mooculus
Year:
2014
Pages:
258
Type:
PDF
Language:
English
ISBN-10 #:
0471000051
ISBN-13 #:
978-0471000051
License:
CC BY-NC-SA 3.0
Amazon:
Amazon
About the Author: Roman Holowinsky
The author Roman Holowinsky
, Johann Thiel, and David Lindberg are respected university educators and researchers in pure and applied mathematics.
Dr. Holowinsky, an Associate Professor at The Ohio State University and a SASTRA Ramanujan Prize recipient, collaborated with Dr. Thiel and Dr. Lindberg to craft accessible, high-quality open instructional resources for introductory undergraduate calculus.
Read or Downloadable Calculus One
Single Variable Calculus Books PDF - Free Textbook Library